The convergence of a finite difference method on layer-adapted mesh for a singularly perturbed system

DOI10.1016/j.amc.2004.01.015zbMath1068.65099OpenAlexW2045633467MaRDI QIDQ1765843

Xianqiang Yang

Publication date: 23 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.01.015

zbMATH Keywords

numerical resultssingular perturbationfinite elementsuniform convergencedifference schemenonlinearboundary value problemsystemnon-uniform mesh

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

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• The solution of singularly perturbed huge problems via domain decomposition
• Approximate solution of a non-linear boundary value problem with a small parameter for the highest-order differential